A fruit vendor ordered some fruits. 30% of the fruits he ordered were pears and the rest were mangosteens. Each pear cost $2.50 and each mangosteen cost 40% more than each pear. The vendor paid a total of $864.
- Find the total cost of the pears.
- How many mangosteens did he order?
(a)
| |
Pears |
Mangosteens |
| Numbers |
3 u |
7 u |
| Price |
$2.50 |
$3.50 |
| Total value |
7.5 u |
24.5 u |
30% =
30100 =
310Number of pears = 3 u
Number of mangosteens = 10 u - 3 u = 7 u
Price of each pear in percent = 100%
Price of each mangosteen in percent = 100% + 40% = 140%
Price of each mangosteen
= 2.50 x 140%
= 2.50 x
140100 = $3.50
7.5 u + 24.5 u = 864
32 u = 864
1 u = 864 ÷ 32 = 27
Cost of the pears
= 3 u x 2.50
= 3 x 27 x 2.50
= $202.5
(b)
Number of mangosteens ordered
= 7 u
= 7 x 27
= 189
Answer(s): (a) $202.5; (b) 189
